I would do just the opposite with him. I would get him used to the whip by thoroughly desensitizing him to it. Until you do, he will remain fearful of it and you will have a huge hole in his training. He will become 'reactive' and go into 'flight mode' every time you move fast or he sees someone else with a whip.
It does not take a long time to desensitize most OTTBs and OTQHs to get them over being whip-shy.
I used to buy a lot of horses off of the track when that was where people went for jumping, roping and barrel racing prospects. So, one of the first things they all needed was to get over being whip-shy, learn how to go to the right and learn how to tie.
The whip-shy thing was the easiest of the three.
They are quite easy to get over being whip-shy. Just start out directly in front of them and beat the ground with a whip. Of course, they will want to go backwards. Just let them back up but do not stop hitting the ground with the whip.
Do not let the horse turn around or go forward around you. Don't try to stop him from backing, but make sure that is the only way he can go away from you.
Every handler can go forward faster and longer than any horse can go backward. At some point, every horse will stop backing up. At that instant, stop waving the whip and back up 2 or 3 steps with the whip down. From that time on, it will take only a very short time until HE DECIDES that the whip is OK.
Usually, within a few minutes of the first time a horse stops, I can rub a whip all over him and beat the ground all around him without him getting upset.
I use this method for anything that a horse is afraid of. When THEY DECIDE to stop backing up, they are over it. You just have to back off and 'reward' them for stopping before approaching them again. It works for spraying with fly spray, bathing, clippers, you name it and it gets them over about all kinds of irrational fears.
You will find that this horse will be soooo much easier to work with and will have a lot more trust for you if you work on the things that he fears first.